Least Common Multiple of 72/182, 19/897, 405/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/182, 19/897, 405/806 quickly i.e. 61560/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/182, 19/897, 405/806 is 61560/13.

LCM(72/182, 19/897, 405/806) = 61560/13

LCM of 72/182, 19/897, 405/806

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 72/182,19/897,405/806

Given numbers are 72/182,19/897,405/806

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 72,19,405

Least Common Multiple of Numerators i.e. LCM of 72,19,405 is 61560.

GCF of Denominators means GCF of 182,897,806 as per the given fractions.

GCF of 182,897,806 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,19,405

LCM of Fractions 72/182,19/897,405/806 is 61560/13

3 72, 19, 405
3 24, 19, 135
8, 19, 45

∴ So the LCM of the given numbers is 3 x 3 x 8 x 19 x 45 = 61560

Least Common Multiple of 72,19,405 with GCF Formula

Least Common Multiple of 72,19,405 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,19,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,19,405) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(72,19,405) x common factors =1 x 9 = 9

LCM(72,19,405) = ( 72 × 19 × 405 ) / 9

LCM(72,19,405) = 554040 / 9

LCM(72,19,405) = 61560


Lets's calculate GCF of 182,897,806

13 182, 897, 806
14, 69, 62

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61560/13

Therefore the LCM of Fractions 72/182,19/897,405/806 is 61560/13

Greatest Common Factor of 182,897,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,897,806 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 182,897,806 . The biggest common factor number is the GCF number.
So the greatest common factor 182,897,806 is 13.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 72/182, 19/897, 405/806

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 72/182, 19/897, 405/806?

Answer: LCM of Numerators as per given numbers 72/182, 19/897, 405/806 is

LCM of Numerators i.e. for 72,19,405 is 61560

GCF of denominators i.e. for 182,897,806 is 13.

Thus, LCM of Fractions is 61560/13.Finally, LCM of Fractions for 72/182, 19/897, 405/806 is 61560/13.